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stiv31 [10]
2 years ago
13

The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th

e numbers?
Mathematics
1 answer:
const2013 [10]2 years ago
6 0

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

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